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Finding the Third Proportional to 202,220 and 313,992

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Solution

The third proportional to 202,220 and 313,992 is: 487,543.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,220 : 313,992 = 313,992 : x
  2. Step 2: Convert to fraction form
    202,220/313,992 = 313,992/x
  3. Step 3: Cross multiply
    202,220x = 313,992 × 313,992
  4. Step 4: Simplify right side
    202,220x = 98,590,976,064
  5. Step 5: Solve for x
    x = 98,590,976,064/202,220
  6. Step 6: Final answer
    x = 487,543.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.